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WITCHER [35]
2 years ago
12

Can someone help me in question #5 please

Mathematics
1 answer:
Tamiku [17]2 years ago
6 0

Answer:

62 degrees

Step-by-step explanation:

Since lines i and k are parallel, angle b and h are interior angles and are equal to each other. Set up the equation by setting the two equal to each other.

8x-34=5x+2

Subtract 5x from both sides. (it cancels on the right side)

3x-34=2

Add 34 to both sides. (cancels on the left side)

3x=36

Divide both sides by 3.

x=12

Now plug it into either equation since they are equal. I'm gonna use the one for angle h so that it's less confusing.

5(12)+2

60+2

62

The measure of angle h is 62 degrees.

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Step-by-step explanation:

When your desired form is expanded, it becomes ...

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<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

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